The first pic looks like a tric to me, look at a few google images.
Echinopsis peruviana as a search term turned up a few that were fairly close but without a detailed botanical description of the plant it's very difficult to say. A better close-up of the flower in the first picture would have been helpful. That's not to say I'd be of any further use were this to have been the case :/
The second picture does not look like a Trichocereus and is also of a poorer resolution, again making identification more difficult. I'm guessing the two pictures are of two different specimens at separate locations?
It'll be interesting to see what the seeds produce in any case...
I've been looking out for this thread for a while as I have a few specimens at home that I'd like to I.D.
#1 A lovely
Mammillaria:

#2 Some generic supermarket cactus, unknown genus (?
Echinocereus):

#3 Very probably a
Pachycereus pringlei, these are very commonly sold these days:

#4 A little
Mammillaria, sadly rather battered in transit (and the photo isn't that great either!):

#5 Unknown genus number 2:

#6 Unknown genus number 3:

#7 Unknown genus number 4:

Any pointers for these would be most welcome!
downwardsfromzero attached the following image(s):

16121901 Mammilaria1.JPG
(4,405kb) downloaded 177 time(s).
16121902 Unknown1.JPG
(4,251kb) downloaded 177 time(s).
16121903 Pachycereus1.JPG
(3,282kb) downloaded 177 time(s).
16121904 Mammilaria2.JPG
(3,048kb) downloaded 176 time(s).
16121905 Unknown2.JPG
(3,758kb) downloaded 172 time(s).
16121906 Unknown3.JPG
(4,038kb) downloaded 173 time(s).
16121907 Unknown4.JPG
(3,136kb) downloaded 173 time(s).Ora, lege, lege, lege, relege et labora“There is a way of manipulating matter and energy so as to produce what modern scientists call 'a field of force'. The field acts on the observer and puts him in a privileged position vis-à-vis the universe. From this position he has access to the realities which are ordinarily hidden from us by time and space, matter and energy. This is what we call the Great Work."
― Jacques Bergier, quoting Fulcanelli